Keywords
- Unitary Representation
- Nilpotent Group
- Primary Projection
- Left Invariant Vector Field
- Invariant Vector Field
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
Auslander, L., and Brezin, J., Uniform Distribution on Solvmanifolds, Advances in Math. 71 (1971), pp. 111–144.
Corwin, L., "Order Estimates for Irreducible Projections in L2 of a Nilmanifold", preprint.
Corwin, L., and Greenleaf, F.P., "Integral Formulas with Distribution Kernels for Irreducible Projections in L2 of a Nilmanifold", J. Funct. Anal. 23 (1976), pp. 255–284.
Corwin, L., Greenleaf, F.P., and Penney, R., "A Canonical Formula for the Distribution Kernels of Primary Projections in L2 of a Nilmanifold", Comm. Pure. Appl. Math. 30 (1977), pp. 355–372.
Gelfand, I.M., Graev, M.I., and Piatetskii-Shapiro, I.I., Representation Theory and Automorphic Functions, Philadelphia, W.B. Saunders, 1969.
Howe, R., "On Frobenius Duality for Unipotent Algebraic Groups over Q", Am. J. Math. 93 (1971), pp. 163–172.
Howe, R., "On a Connection between Nilpotent Groups and Oscillatory Integrals Associated to Singularities", Pac. J. Math. 73 (1977), pp. 329–364.
Jenkins, J., "Primary Projections on L2 of a Nilmanifold", J. Funct. Anal. 32 (1979), pp. 131–138.
Kirillov, A.A., "Unitary Representations of Nilpotent Lie Groups", Uspechi Mat. Nauk 17 (1962), pp. 57–110.
Moore, C.C., "Decomposition of Unitary Representations Defined by Discrete Subgroups of Nilpotent Groups", Ann. of Math. 82 (1965), pp. 146–182.
Moore, C.C., and Wolf, J., "Square Integrable Representations of Nilpotent Lie Groups", Trans. A.M.S. 185 (1973), pp. 445–462.
Penney, R., "Central Idempotent Measures on a Nilmanifold", J. Funct. Anal. 36 (1980), pp. 255–271.
Penney, R., "Canonical Objects in Kirillov Theory on Nilpotent Lie Groups", Proc. A.M.S. 66 (1977), pp. 175–178.
Pukanszky, L., Leçons sur les Représentations des Groupes, Paris, Dunod, 1967.
Richardson, L., "Decomposition of the L2 space of a General Compact Nilmanifold", Amer. J. Math. 93 (1971), pp. 173–190.
Richardson, L., "A Class of Idempotent Measures on Compact Nilmanifolds", Acta. Math. 135 (1975), pp. 129–154.
Richardson, L., "Poisson Summation on Kirillov Orbits", Math. Annalen, 239 (1979), pp. 229–240.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Corwin, L. (1984). Primary projections on nilmanifolds. In: Herb, R., Johnson, R., Lipsman, R., Rosenberg, J. (eds) Lie Group Representations III. Lecture Notes in Mathematics, vol 1077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072335
Download citation
DOI: https://doi.org/10.1007/BFb0072335
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13385-8
Online ISBN: 978-3-540-38936-1
eBook Packages: Springer Book Archive
